Find the LCM of 546, 302, 478, 955 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 546, 302, 478, 955. So, keep reading to learn more.
Given numbers are 546,302,478,955
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,302,478,955 is 18817887270.
Find LCM of 546,302,478,955 with Prime Factorization
2 | 546, 302, 478, 955 |
273, 151, 239, 955 |
Multiply the prime numbers at the bottom and the left side.
2 x 273 x 151 x 239 x 955 = 18817887270
Therefore, the lowest common multiple of 546,302,478,955 is 18817887270.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
546 x 302 x 478 x 955 = 75271549080
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
302 : 1, 2, 151, 302
478 : 1, 2, 239, 478
955 : 1, 5, 191, 955
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,302,478,955, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
302:2x 151
478:2x 239
955:5x 191
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 75271549080/(1x4)
LCM = 75271549080/4
LCM = 18817887270
Thus, we can understand that the LCM of 546,302,478,955 is 18817887270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 546, 302, 478, 955?
Answer: LCM of 546, 302, 478, 955 is 18817887270.
2. How to calculate the LCM of 546, 302, 478, 955?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 546, 302, 478, 955.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.